- #1
iRaid
- 558
- 8
Homework Statement
\int cos^{2}x dx
I know that
cos^{2}x = \frac{1+cos2x}{2}
but I don't see how that helps me.
Can someone help walk me through it..
Cos^2(x) Integral: Get Help Solving
- Thread starter iRaid
- Start date
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- Tags
- Integral
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Homework Help Overview
The discussion revolves around the integral of cos²(x), specifically the expression ∫cos²(x) dx. Participants are exploring the use of trigonometric identities to simplify the integral and are attempting to integrate the resulting expression.
Discussion Character
- Exploratory, Mathematical reasoning, Problem interpretation
Approaches and Questions Raised
- The original poster attempts to apply the identity cos²(x) = (1 + cos(2x))/2 but expresses confusion about its utility. Other participants suggest breaking the integral into simpler parts and discuss the potential for substitution methods. Questions about the integration of cos(2x) and the correctness of the resulting expressions are raised.
Discussion Status
Participants are actively engaging with the problem, offering insights and suggestions for approaches. There is a recognition of the need for substitution in the integration process, and some participants express uncertainty about the correctness of their results, indicating a productive exploration of the topic.
Contextual Notes
There is mention of a potential oversight regarding the inclusion of a constant of integration, which reflects the common challenges faced in integral calculus. The discussion also highlights the importance of verifying results against expected answers.